131029807040 has 112 divisors (see below), whose sum is σ = 345174441984. Its totient is φ = 46976025600.

The previous prime is 131029807037. The next prime is 131029807067. The reversal of 131029807040 is 40708920131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12224 + ... + 512063.

Almost surely, 2^131029807040 is an apocalyptic number.

131029807040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131029807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172587220992).

131029807040 is an abundant number, since it is smaller than the sum of its proper divisors (214144634944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131029807040 is a wasteful number, since it uses less digits than its factorization.

131029807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524386 (or 524376 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 131029807040 in words is "one hundred thirty-one billion, twenty-nine million, eight hundred seven thousand, forty".